Least Common Multiple of 7458 and 7460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7458 and 7460 the smallest integer that is 27818340 that is divisible by both numbers.

Least Common Multiple (LCM) of 7458 and 7460 is 27818340.

LCM(7458,7460) = 27818340

LCM of 7458 and 7460

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 7458 and 7460

LCM of 7458 and 7460 is 27818340

Least common multiple can be found by multiplying the highest exponent prime factors of 7458 and 7460. First we will calculate the prime factors of 7458 and 7460.

Prime Factorization of 7458


2 7458
3 3729
11 1243
113 113
1

Prime factors of 7458 are 2, 3, 11,113. Prime factorization of 7458 in exponential form is:

7458 = 21×31×111×1131

Prime Factorization of 7460


2 7460
2 3730
5 1865
373 373
1

Prime factors of 7460 are 2, 5,373. Prime factorization of 7460 in exponential form is:

7460 = 22×51×3731

Now multiplying the highest exponent prime factors to calculate the LCM of 7458 and 7460.

LCM(7458,7460) = 22×31×51×111×1131×3731
LCM(7458,7460) = 27818340

Factors of 7458

List of positive integer factors of 7458 that divides 7458 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 113, 226, 339, 678, 1243, 2486, 3729, 7458

Factors of 7460

List of positive integer factors of 7460 that divides 7460 without a remainder.

1, 2, 4, 5, 10, 20, 373, 746, 1492, 1865, 3730, 7460

Least Common Multiple of 7458 and 7460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7458 and 7460, than apply into the LCM equation.

GCF(7458,7460) = 2
LCM(7458,7460) = ( 7458 × 7460) / 2
LCM(7458,7460) = 55636680 / 2
LCM(7458,7460) = 27818340

Properties of LCM 7458 and 7460

(i) The LCM of 7460 and 7458 is associative

LCM of 7458 and 7460 = LCM of 7460 and 7458

Related Least Common Multiples of 7458

Related Least Common Multiples of 7460

Frequently Asked Questions on LCM of 7458 and 7460

1. What is the LCM of 7458 and 7460?

Answer: LCM of 7458 and 7460 is 27818340.

2. What are the Factors of 7458?

Answer: Factors of 7458 are 1, 2, 3, 6, 11, 22, 33, 66, 113, 226, 339, 678, 1243, 2486, 3729, 7458. There are 16 integers that are factors of 7458. The greatest factor of 7458 is 7458.

3. What are the Factors of 7460?

Answer: Factors of 7460 are 1, 2, 4, 5, 10, 20, 373, 746, 1492, 1865, 3730, 7460. There are 12 integers that are factors of 7460. The greatest factor of 7460 is 7460.

4. How to Find the LCM of 7458 and 7460?

Answer:

Least Common Multiple of 7458 and 7460 = 27818340

Step 1: Find the prime factorization of 7458

7458 = 2 x 3 x 11 x 113

Step 2: Find the prime factorization of 7460

7460 = 2 x 2 x 5 x 373

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 27818340 = 2 x 2 x 3 x 5 x 11 x 113 x 373

Step 4: Therefore, the least common multiple of 7458 and 7460 is 27818340.